Atkin-Lehner |
3- 5+ 29+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
25665i |
Isogeny class |
Conductor |
25665 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
Δ |
85367454345703125 = 35 · 512 · 293 · 59 |
Discriminant |
Eigenvalues |
0 3- 5+ -1 -6 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-5398941,-4830265735] |
[a1,a2,a3,a4,a6] |
Generators |
[31962:1546871:8] |
Generators of the group modulo torsion |
j |
17404018531839989203861504/85367454345703125 |
j-invariant |
L |
3.7854937078796 |
L(r)(E,1)/r! |
Ω |
0.099042713521102 |
Real period |
R |
3.8220819819048 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76995q2 128325c2 |
Quadratic twists by: -3 5 |